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Proof step 99 from proof truncate-empty (previous step)

files0[ino0] = mkfile(m, md0, # links(ino0, dirs), content0), files = files0[ino0, mkfile(m, md0, # links(ino0, dirs), content0 upto n)], ino = inode.ino, inode = mkinode(ino0, md1, false, # links(ino0, dirs), 0, n), inode0 = mkinode(ino0, md1, false, # links(ino0, dirs), 0, n), afs-cons(dirs, files0), ino ∈ files, ino0 ∈ files0 ⊦ [asynced := ?] ( ESUCCESS = ESUCCESS → files[ino, files[ino].size:= inode.size][ino, files[ino, files[ino].size:= inode.size][ino].meta:= inode.meta][ino0].content.stream from n = σ⊥), n % VFS_PAGE_SIZE ≠ 0 ∧ n / VFS_PAGE_SIZE ∈ content0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 100:
files0[ino0] = mkfile(m, md0, # links(ino0, dirs), content0), afs-cons(dirs, files0), ino0 ∈ files0 ⊦ [asynced := ?] ((content0 upto n).stream from n = σ⊥), n % VFS_PAGE_SIZE ≠ 0 ∧ n / VFS_PAGE_SIZE ∈ content0

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).content = content; (s)% ⊦ mkfile(m, md, m0, content).meta:= md0 = mkfile(m, md0, m0, content); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).meta = md; (s)% ⊦ files[ino, af][ino, af0] = files[ino, af0]; (s)% ⊦ mkfile(m, md, m0, content).size:= m1 = mkfile(m1, md, m0, content); (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ files[ino, af][ino0] = (ino0 = ino ∧ ino ∈ files ⊃ af;files[ino0]); (s)% ⊦ ino ∈ files[ino0, af] ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)